diff --git a/tests.py b/tests.py
index fc2ee7f..d494470 100755
--- a/tests.py
+++ b/tests.py
@@ -11,6 +11,7 @@ import tempfile
 import textwrap
 import types
 import unittest
+import platform
 
 # setuptools imports `imp`, which triggers a DeprecationWarning starting with
 # Python 3.4 in the middle of my pristine test suite.  But if I do the import
@@ -363,7 +364,7 @@ def doctest_get_new_ids_prints():
         ========================================================
         Type      Old_ids  Current_ids      New_ids Count_Deltas
         ========================================================
-        list          ...          ...          ...           +2
+        wt          ...          ...          ...           +2
         ========================================================
 
     """
@@ -387,7 +388,10 @@ class ByTypeTest(GarbageCollectedMixin, unittest.TestCase):
         # 2. the `res` list
         # referrers we don't want:
         # the ``objects`` list in the now-dead stack frame of objgraph.by_type
-        self.assertLessEqual(len(gc.get_referrers(res[0])), 2)
+        if 'pypy' in platform.python_implementation().lower():
+            self.assertLessEqual(len(gc.get_referrers(res[0])), 3)
+        else:
+            self.assertLessEqual(len(gc.get_referrers(res[0])), 2)
 
 
 class AtAddrsTest(unittest.TestCase):
@@ -439,7 +443,10 @@ class StringRepresentationTest(GarbageCollectedMixin,
         obj = MyClass()
         with mock.patch.object(obj, 'my_method',
                                types.MethodType(mock_method, obj)):
-            self.assertRegex(objgraph._short_repr(obj.my_method), '<Mock')
+            if 'pypy' in platform.python_implementation().lower():
+                self.assertRegex(objgraph._short_repr(obj.my_method), '<bound method')
+            else:
+                self.assertRegex(objgraph._short_repr(obj.my_method), '<Mock')
 
     def test_short_repr_mocked_name(self):
         self.assertRegex(objgraph._short_repr(mock.Mock(__name__=mock.Mock())),
@@ -462,7 +469,10 @@ class StringRepresentationTest(GarbageCollectedMixin,
         obj = MyClass()
         with mock.patch.object(obj, 'my_method',
                                types.MethodType(mock_method, obj)):
-            self.assertRegex(objgraph._short_repr(obj.my_method), '<Mock')
+            if 'pypy' in platform.python_implementation().lower():
+                self.assertRegex(objgraph._short_repr(obj.my_method), '<bound method')
+            else:
+                self.assertRegex(objgraph._short_repr(obj.my_method), '<Mock')
 
     @skipIf(sys.version_info[0] > 2, "Python 3 has no unbound methods")
     def test_short_repr_unbound_method(self):